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Finding the Fourth Proportional to 3,584.99, 4,947.35 and 2,168.71

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Solution

The fourth proportional to 3,584.99, 4,947.35 and 2,168.71 is: 2,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.99 : 4,947.35 = 2,168.71 : x
  2. Step 2: Convert to fraction form
    3,584.99/4,947.35 = 2,168.71/x
  3. Step 3: Cross multiply
    3,584.99x = 4,947.35 × 2,168.71
  4. Step 4: Simplify right side
    3,584.99x = 10,729,344.21
  5. Step 5: Solve for x
    x = 10,729,344.21/3,584.99
  6. Step 6: Final answer
    x = 2,992.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.